Modelling light-cone distribution amplitudes from non-relativistic bound states

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dc.creatorBell, Guido
dc.creatorFeldmann, Thorsten
dc.date2008-02-15
dc.date2008-02-25
dc.date.accessioned2026-07-07T11:14:14Z
dc.date.available2026-07-07T11:14:14Z
dc.descriptionWe calculate light-cone distribution amplitudes for non-relativistic bound states, including radiative corrections from relativistic gluon exchange to first order in the strong coupling constant. We distinguish between bound states of quarks with equal (or similar) mass, m_1 ~ m_2, and between bound states where the quark masses are hierarchical, m_1 >> m_2. For both cases we calculate the distribution amplitudes at the non-relativistic scale and discuss the renormalization-group evolution for the leading-twist and 2-particle distributions. Our results apply to hard exclusive reactions with non-relativistic bound states in the QCD factorization approach like, for instance, (B_c -> eta_c l nu) or (e^+ e^- -> J/psi eta_c). They also serve as a toy model for light-cone distribution amplitudes of light mesons or heavy B and D mesons, for which certain model-independent properties can be derived. In particular, we calculate the anomalous dimension for the B meson distribution amplitude phi_B^-(w) in the Wandzura-Wilczek approximation and derive the according solution of the evolution equation at leading logarithmic accuracy.
dc.description27 pages, 15 figures, discussion around Eq.(83,84) extended
dc.identifierhttps://arxiv.org/abs/0802.2221
dc.identifierhttp://arxiv.org/abs/0802.2221
dc.identifierJHEP0804:061,2008
dc.identifierdoi:10.1088/1126-6708/2008/04/061
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/191999
dc.subjectHigh Energy Physics - Phenomenology
dc.titleModelling light-cone distribution amplitudes from non-relativistic bound states
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